(v) sgn(a) =,for all a E R where sgn(.) denotes the Signum Function.asgn(x) + sgn(x – 1) and find its domain and range.cx³ +2x-5(b) Sketch the function yx3 +3x+4limx→-1 x²-1(c) Find the value of the constant C if limx→+o 2x3-²+7

Answered: Image /qna-images/answer/4a266ca3-114d-4b7c-b214-a46aba596988.jpg

(v) sgn(a) = for all a E R where sgn(.) denotes the Signum Function. a (b) Sketch the function y = sgn(x) + sgn(x – 1) and find its domain and range. cx³ +2x-5 x3 +3x+4 lim x→-1 x²-1 (c) Find the value of the constant C if lim x→+o 2x3-x²+7

(v) sgn(a) = for all a E R where sgn(.) denotes the Signum Function. a (b) Sketch the function y = sgn(x) + sgn(x – 1) and find its domain and range. cx³ +2x-5 x3 +3x+4 lim x→-1 x²-1 (c) Find the value of the constant C if lim x→+o 2x3-x²+7

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

(v) sgn(a) =
,for all a E R where sgn(.) denotes the Signum Function.
a
sgn(x) + sgn(x – 1) and find its domain and range.
cx³ +2x-5
(b) Sketch the function y
x3 +3x+4
lim
x→-1 x²-1
(c) Find the value of the constant C if lim
x→+o 2x3-²+7

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